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Greeley [361]
3 years ago
14

Please help!! What is the slope of the line?

Mathematics
2 answers:
Usimov [2.4K]3 years ago
3 0
Do you have A picture of the line?
uranmaximum [27]3 years ago
3 0
We need a picture to know help you
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Reorder 2 and x.
x + 2
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Decrease 60 by 20 what is the answer
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Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 4cm and a height of 16cm, at the ra
bearhunter [10]

Answer:

\frac{dh}{dt}=-\frac{1}{2\pi}cm/min

Step-by-step explanation:

From similar triangles, see diagram in attachment

\frac{r}{4}=\frac{h}{16}


We solve for r to obtain,


r=\frac{h}{4}


The formula for calculating the volume of a cone is

V=\frac{1}{3}\pi r^2h


We substitute the value of r=\frac{h}{4} to obtain,


V=\frac{1}{3}\pi (\frac{h}{4})^2h


This implies that,

V=\frac{1}{48}\pi h^3


We now differentiate both sides with respect to t to get,

\frac{dV}{dt}=\frac{\pi}{16}h^2 \frac{dh}{dt}


We were given that water is drained out of the tank at a rate of 2cm^3/min


This implies that \frac{dV}{dt}=-2cm^3/min.


Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means h=8cm.


We substitute this values to obtain,


-2=\frac{\pi}{16}(8)^2 \frac{dh}{dt}


\Rightarrow -2=4\pi \frac{dh}{dt}


\Rightarrow -1=2\pi \frac{dh}{dt}


\frac{dh}{dt}=-\frac{1}{2\pi}






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3 years ago
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Simplify the expression. (–8.6)0
geniusboy [140]
The answer is 0. Hope it helps!
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Can someone please help me?<br>Need this for today!​
Vesnalui [34]

Answer:

First one: Degree of 13, type monomial

Second one: Degree of 5, type trinomial

Third one: Degree of 8, type trinomial

Step-by-step explanation:

The degree of a polynomial is determined by the highest degree of its individual terms. To determine the degree of a term, add up the power values of the variables.

The type of the polynomial is determined by how many terms are being separated by an addition sign ( a subtraction sign is just the addition of the inverse of a number).

One term: Monomial

Two terms: Binomial

Three terms: Trinomial

Four terms and so on: Generally just called polynomials

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